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A ladder is leaning against a building forming a 70°angle with the ground. The length of the ladder is 18.3 ft. How far is the base of the ladder from the base of the building? Round your answer to the nearest tenth. (Number part only, do not write commas or units).

1 Answer

5 votes

Answer: 6.3

Work Shown

cos(angle) = adjacent/hypotenuse

cos(70) = x/18.3

x = 18.3*cos(70)

x = 6.25896862285974

x = 6.3

The diagram is shown below. The diagram is not to scale.

A ladder is leaning against a building forming a 70°angle with the ground. The length-example-1
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